Zobrazeno 1 - 10
of 72
pro vyhledávání: '"Rebelo, Julio C."'
Autor:
Rebelo, Julio C., Reis, Helena
In dimensions greater than or equal to 3, the local structure of a singular holomorphic foliation conceals a globally defined foliation on the projective space of dimension one less. In this paper, we will discuss how the global dynamics of the latte
Externí odkaz:
http://arxiv.org/abs/2301.05534
Autor:
Rebelo, Julio C., Reis, Helena
Let $\mathcal{F}$ be a foliation defined on a complex projective manifold $M$ of dimension $n$ and admitting a holomorphic vector field $X$ tangent to it along some non-empty Zariski-open set. In this paper we prove that if $X$ has sufficiently many
Externí odkaz:
http://arxiv.org/abs/2205.08626
This paper is devoted to characterizing complex projective structures defined on Riemann surface orbifolds and giving rise to injective developing maps defined on the monodromy covering of the surface (orbifold) in question. The relevance of these st
Externí odkaz:
http://arxiv.org/abs/2202.05646
We provide examples of vector fields on $(\mathbb{C}^3, 0)$ admitting a formal first integral but no holomorphic first integral. These examples are related to a question raised by D. Cerveau and motivated by the celebrated theorems of Malgrange and M
Externí odkaz:
http://arxiv.org/abs/2110.13072
Starting from some remarkable singularities of holomorphic vector fields, we construct (open) complex surfaces over which the singularities in question are realized by complete vector fields. Our constructions lead to manifolds and vector fields beyo
Externí odkaz:
http://arxiv.org/abs/1810.07295
We classify degenerate singular points of $\C^2$-actions on complex surfaces.
Externí odkaz:
http://arxiv.org/abs/1809.09255
Autor:
Rebelo, Julio C., Reis, Helena
This paper is devoted to the resolution of singularities of holomorphic vector fields and of one-dimensional holomorphic foliations in dimension 3 and it has two main objectives. First, from the general perspective of one-dimensional foliations, we b
Externí odkaz:
http://arxiv.org/abs/1712.10286
Autor:
Eskif, Anas, Rebelo, Julio C.
We prove a global topological rigidity theorem for locally $C^2$-non-discrete subgroups of the group of real analytic diffeomorphisms of the circle.
Externí odkaz:
http://arxiv.org/abs/1507.03855
Autor:
Rebelo, Julio C., Reis, Helena
We show that holomorphic vector fields on (C^3,0) have separatrices provided that they are embedded in a rank 2 representation of a two-dimensional Lie algebra. In turn, this result enables us to show that the second jet of a holomorphic vector field
Externí odkaz:
http://arxiv.org/abs/1410.3527
Autor:
Rebelo, Julio C., Reis, Helena
In this note we extend to arbitrary dimensions a couple of results due respectively to Mattei-Moussu and to Camara-Scardua in dimension 2. We also provide examples of singular foliations having a Siegel-type singularity and answering in the negative
Externí odkaz:
http://arxiv.org/abs/1406.0459